水库坝前冲刷漏斗平衡形态的数学模拟

应用作者提出的水沙两相流立面二维数学模型和基于算子分裂的数值计算方法,对水库坝前冲刷漏斗平衡形态及相应水、沙流动特性进行数学模拟。分析表明:在邻近孔口的局部范围内,漏斗平衡形态直接依赖于孔口的布置形式与调度运行;对于孔口影响域以外的区域,则主要取决于上游来水、来沙条件。对黄河小浪底水库和三门峡水库在概化条件下的实例计算结果与现有观测成果和预测分析基本符合,对工程实际有一定参考价值。

Mathematical Modeling of Topographic Profile of Scouring Funnel in front of A Reservoir Dam

A two-dimensional mathematical model in vertical plane and operator-splitting method coupied with high order difference scheme for pure advective transport processes are presented. The approach is applied to numerical modeling of the topographic profile of the scouring funnel and water-sediment mixture flow in front of a reservoir dam when sediment transport is in equilibrium situation. It is found that the topographic profile near suction orifices is detemined mainly by orifice arrangement and suction operation but the profile far away from orifices is controlled by inflow paramenters of water and sediment. The topographic profiles and flow field in the scouring funnels in the Xiaolangdi Reservoir on the Yellow River are predicted. The results are principally in agreement with those obtained from field observations in similar reservoirs and flume experimented data.